5 papers
The fractional Calderón problem on finite Cayley graphs
Li Li
We study a Calderón-type inverse problem for the spectral fractional Laplacian on finite Cayley graphs. For a known self-adjoint operator, recovery from a single measurement reduce…
An inverse problem for the fractional Allen-Cahn equation
Li Li
We study an inverse problem for the fractional Allen-Cahn equation. Our formulation and arguments rely on the asymptotics for the fractional equation and unique continuation proper…
An inverse problem for the space-time fractional Schrödinger equation on closed manifolds
Li Li
We formulate an inverse problem for an uncoupled space-time fractional Schrödinger equation on closed manifolds. Our main goal is to determine the fractional powers and the Riemann…
Nakajima's quiver varieties and triangular bases of bipartite cluster algebras
Li Li
Berenstein and Zelevinsky introduced quantum cluster algebras \cite{BZ1} and the triangular bases \cite{BZ2}. The support conjecture proposed in \cite{LLRZ}, which asserts that the…
The affine Artin group of type is virtually poly-free
Li Li, S. K. Roushon
In this note we prove that the affine Artin group of type is virtually poly-free. The proof also gives another solution of the problem for $\widetilde B_…